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Finding the Fourth Proportional to 30,471.40, 45,707.10 and 29,159.20

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Solution

The fourth proportional to 30,471.40, 45,707.10 and 29,159.20 is: 43,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.40 : 45,707.10 = 29,159.20 : x
  2. Step 2: Convert to fraction form
    30,471.40/45,707.10 = 29,159.20/x
  3. Step 3: Cross multiply
    30,471.40x = 45,707.10 × 29,159.20
  4. Step 4: Simplify right side
    30,471.40x = 1,332,782,470.32
  5. Step 5: Solve for x
    x = 1,332,782,470.32/30,471.40
  6. Step 6: Final answer
    x = 43,738.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.